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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 89 · 40 sums
TalentJR

The method (90, 180, equal): Complement of a = 90 − a. Supplement of a = 180 − a. Lines crossing: vertically opposite angles are equal; a linear pair adds up to 180°. Parallel lines: corresponding angles equal, alternate interior angles equal, interior angles on the same side add up to 180°. One angle d° more than the other: bigger = (total + d) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the complement of 51° (in degrees)?
  2. 2.Are 23° and 157° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.What is the complement of 68° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 110°. What is its corresponding angle (in degrees)?
  5. 5.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 173° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 146°. What is the angle next to it on the same line (in degrees)?
  8. 8.Are 64° and 105° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  10. 10.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 157° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its alternate interior angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.Are 11° and 79° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  15. 15.Are 12° and 78° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.Are 26° and 64° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  17. 17.Two straight lines cross each other. One of the angles formed is 98°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its alternate interior angle (in degrees)?
  19. 19.What is the supplement of 107° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 148°. What is its corresponding angle (in degrees)?
  21. 21.What is the supplement of 134° (in degrees)?
  22. 22.What is the complement of 5° (in degrees)?
  23. 23.What is the supplement of 130° (in degrees)?
  24. 24.Are 41° and 49° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 24° and 146° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Are 67° and 23° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  29. 29.What is the complement of 62° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.What is the supplement of 124° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 46°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 27° and 74° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  35. 35.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the supplement of 171° (in degrees)?
  37. 37.Are 62° and 118° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.Are 47° and 133° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 39
  2. Supplementary
  3. 22
  4. 110
  5. 61
  6. 7
  7. 34
  8. Neither
  9. 117
  10. 124
  11. 23
  12. 143
  13. 139
  14. Complementary
  15. Complementary
  16. Complementary
  17. 98
  18. 47
  19. 73
  20. 148
  21. 46
  22. 85
  23. 50
  24. Complementary
  25. 136
  26. Neither
  27. 122
  28. Complementary
  29. 28
  30. 103
  31. 56
  32. 134
  33. 92
  34. Neither
  35. 100
  36. 9
  37. Supplementary
  38. Supplementary
  39. 112
  40. 49

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